For the given rational function, find out the equation of the horizontal asymptote (if applicable). 

f(x) = 5x³/(2x² +7)

Graph the following rational function by finding horizontal or vertical or slant asymptote(if there are any) f(x) = (x²-4x+4)/(x+2)

Identify the graph of the following rational function through the way it approaches a vertical asymptote x = 4.

f(x) = 1/(x - 4)²

Determine the vertical and horizontal asymptote of the graph of y = 5/(x - 12) + 17.